Germany
Beyond being surrounded by immature men who magically commit public harakiri, what May seems to share with Merkel is the caution, the general aura of biding her time. There's also a degree of seriousness about May that I think she shares with Merkel, and after the bonfire of the vanities in the Tory party, that now seems particularly appealing.
The key question is whether they can keep their cake and eat it—in other words, single market access and immigration restrictions. It would be very, very difficult for Merkel to make that kind of concession. The risk of setting a bad example that then encourages and enables the fragmenting forces in Europe is more than Merkel can responsibly incur.